Details

sample143.0ms

Algorithm

intervals

Results

19.0ms	442×	body	80	valid
10.0ms	442×	pre	80	true

simplify9.0s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
6	4269
5	937
4	310
3	98
2	38
1	16
0	8

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize54.0ms

Local error

Found 3 expressions with local error:

0.0b	(* m (- 1.0 m))
0.0b	(/ (* m (- 1.0 m)) v)
0.0b	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))

rewrite299.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-sqr-sqrt`
15×	`*-un-lft-identity`
12×	`add-cbrt-cube` `add-exp-log`
10×	`associate-r`
9×	`add-cube-cbrt`
8×	`flip3--` `associate-l` `flip--`
7×	`pow1`
6×	`associate-*r/`
4×	`distribute-rgt-in` `frac-times` `sub-neg` `distribute-lft-in`
3×	`associate-/r*` `times-frac` `prod-exp` `cbrt-unprod` `insert-posit16` `distribute-lft-out--` `add-log-exp` `difference-of-squares`
2×	`cbrt-undiv` `div-exp` `pow-prod-down` `associate-l/` `-commutative` `unswap-sqr` `associate-/l/`
1×	`clear-num` `frac-2neg` `div-inv` `associate-/l*`

Counts

3 → 86

Calls

3 calls:

37.0ms	(* m (- 1.0 m))
42.0ms	(/ (* m (- 1.0 m)) v)
211.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))

series244.0ms

Counts

3 → 9

Calls

3 calls:

98.0ms	(* m (- 1.0 m))
65.0ms	(/ (* m (- 1.0 m)) v)
81.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))

simplify3.2s

Counts

95 → 95

Iterations

Iter	Nodes
done	5000
2	1607
1	422
0	150

prune1.1s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize45.0ms

Local error

Found 4 expressions with local error:

0.0b	(* m (- 1.0 m))
0.0b	(/ (* m (- 1.0 m)) v)
0.1b	(* (* (- (/ (* m (- 1.0 m)) v) 1.0) (+ (sqrt 1.0) (sqrt m))) (- (sqrt 1.0) (sqrt m)))
0.1b	(* (- (/ (* m (- 1.0 m)) v) 1.0) (+ (sqrt 1.0) (sqrt m)))

rewrite629.0ms

Algorithm

rewrite-expression-head

Rules

32×	`frac-times`
27×	`add-sqr-sqrt`
23×	`*-un-lft-identity` `flip3--` `flip--`
19×	`associate-r`
18×	`add-cbrt-cube` `add-exp-log`
16×	`associate-*l/`
14×	`associate-*r/`
13×	`pow1`
12×	`flip3-+` `flip-+`
11×	`add-cube-cbrt`
9×	`associate-l`
8×	`sqrt-prod`
6×	`prod-exp` `cbrt-unprod` `difference-of-squares`
5×	`distribute-rgt-in` `distribute-lft-in` `pow-prod-down`
4×	`sub-neg` `insert-posit16` `distribute-lft-out--` `add-log-exp`
3×	`associate-/r` `times-frac` `-commutative`
2×	`cbrt-undiv` `div-exp` `distribute-lft-out` `unswap-sqr` `associate-/l/`
1×	`clear-num` `frac-2neg` `div-inv` `associate-/l*`

Counts

4 → 139

Calls

4 calls:

55.0ms	(* m (- 1.0 m))
42.0ms	(/ (* m (- 1.0 m)) v)
304.0ms	(* (* (- (/ (* m (- 1.0 m)) v) 1.0) (+ (sqrt 1.0) (sqrt m))) (- (sqrt 1.0) (sqrt m)))
204.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (+ (sqrt 1.0) (sqrt m)))

series645.0ms

Counts

4 → 12

Calls

4 calls:

103.0ms	(* m (- 1.0 m))
65.0ms	(/ (* m (- 1.0 m)) v)
255.0ms	(* (* (- (/ (* m (- 1.0 m)) v) 1.0) (+ (sqrt 1.0) (sqrt m))) (- (sqrt 1.0) (sqrt m)))
222.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (+ (sqrt 1.0) (sqrt m)))

simplify2.7s

Counts

151 → 151

Iterations

Iter	Nodes
done	5001
1	918
0	269

prune1.5s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize106.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (+ (* m (sqrt m)) (* 1.0 (sqrt 1.0))) (- (/ m (/ v (- 1.0 m))) 1.0))
0.2b	(* m (sqrt m))
0.5b	(* (sqrt m) (sqrt m))
1.0b	(/ (* (+ (* m (sqrt m)) (* 1.0 (sqrt 1.0))) (- (/ m (/ v (- 1.0 m))) 1.0)) (+ (* (sqrt 1.0) (sqrt 1.0)) (- (* (sqrt m) (sqrt m)) (* (sqrt 1.0) (sqrt m)))))

rewrite832.0ms

Algorithm

rewrite-expression-head

Rules

49×	`add-sqr-sqrt`
26×	`pow1`
22×	`sqrt-prod`
21×	`*-un-lft-identity`
19×	`associate-r` `add-cube-cbrt`
15×	`add-cbrt-cube` `add-exp-log`
13×	`associate-l`
9×	`sqrt-pow1` `pow1/2`
8×	`frac-times` `swap-sqr` `associate-/l/`
7×	`flip3-+` `pow-prod-up` `flip-+` `unswap-sqr`
6×	`times-frac` `flip3--` `flip--`
5×	`pow-prod-down`
4×	`associate-l/` `prod-exp` `associate-r/` `cbrt-unprod` `insert-posit16` `add-log-exp`
3×	`associate-/r` `pow3` `pow-sqr` `-commutative` `difference-of-squares`
2×	`distribute-rgt-in` `cbrt-undiv` `sub-neg` `distribute-lft-in` `div-exp` `associate-/r/`
1×	`pow2` `clear-num` `rem-square-sqrt` `frac-2neg` `pow-plus` `sqrt-unprod` `sum-cubes` `div-inv` `associate-/l*` `distribute-lft-out--`

Counts

4 → 144

Calls

4 calls:

460.0ms	(* (+ (* m (sqrt m)) (* 1.0 (sqrt 1.0))) (- (/ m (/ v (- 1.0 m))) 1.0))
23.0ms	(* m (sqrt m))
22.0ms	(* (sqrt m) (sqrt m))
306.0ms	(/ (* (+ (* m (sqrt m)) (* 1.0 (sqrt 1.0))) (- (/ m (/ v (- 1.0 m))) 1.0)) (+ (* (sqrt 1.0) (sqrt 1.0)) (- (* (sqrt m) (sqrt m)) (* (sqrt 1.0) (sqrt m)))))

series1.9s

Counts

4 → 12

Calls

4 calls:

169.0ms	(* (+ (* m (sqrt m)) (* 1.0 (sqrt 1.0))) (- (/ m (/ v (- 1.0 m))) 1.0))
57.0ms	(* m (sqrt m))
20.0ms	(* (sqrt m) (sqrt m))
1.7s	(/ (* (+ (* m (sqrt m)) (* 1.0 (sqrt 1.0))) (- (/ m (/ v (- 1.0 m))) 1.0)) (+ (* (sqrt 1.0) (sqrt 1.0)) (- (* (sqrt m) (sqrt m)) (* (sqrt 1.0) (sqrt m)))))

simplify6.8s

Counts

156 → 156

Iterations

Iter	Nodes
done	5001
2	4571
1	963
0	319

prune1.8s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize124.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ m (/ v (- 1.0 m)))
0.2b	(* m (sqrt m))
0.5b	(* (sqrt m) (sqrt m))
1.9b	(/ (* (* (- (/ m (/ v (- 1.0 m))) 1.0) (+ (sqrt 1.0) (sqrt m))) (- (* 1.0 (sqrt 1.0)) (* m (sqrt m)))) (+ (* (sqrt 1.0) (sqrt 1.0)) (+ (* (sqrt m) (sqrt m)) (* (sqrt 1.0) (sqrt m)))))

rewrite1.0s

Algorithm

rewrite-expression-head

Rules

126×	`times-frac`
116×	`add-sqr-sqrt`
99×	`*-un-lft-identity`
75×	`add-cube-cbrt`
28×	`frac-times`
26×	`associate-/l/`
24×	`pow1` `associate-/r*`
22×	`flip3--` `add-cbrt-cube` `add-exp-log` `sqrt-prod` `flip--`
14×	`associate-*l/`
12×	`associate-r` `distribute-lft-out--` `difference-of-squares`
11×	`associate-/r/`
10×	`flip3-+` `flip-+`
9×	`sqrt-pow1` `pow1/2` `associate-l`
8×	`swap-sqr` `associate-*r/`
7×	`pow-prod-up`
6×	`cbrt-undiv` `div-exp` `div-inv` `unswap-sqr`
5×	`prod-exp` `cbrt-unprod`
4×	`pow-prod-down` `insert-posit16` `associate-/l*` `add-log-exp`
3×	`pow-sqr`
2×	`clear-num` `frac-2neg` `*-commutative`
1×	`pow2` `rem-square-sqrt` `pow-plus` `sqrt-unprod` `pow3`

Counts

4 → 231

Calls

4 calls:

22.0ms	(/ m (/ v (- 1.0 m)))
13.0ms	(* m (sqrt m))
28.0ms	(* (sqrt m) (sqrt m))
914.0ms	(/ (* (* (- (/ m (/ v (- 1.0 m))) 1.0) (+ (sqrt 1.0) (sqrt m))) (- (* 1.0 (sqrt 1.0)) (* m (sqrt m)))) (+ (* (sqrt 1.0) (sqrt 1.0)) (+ (* (sqrt m) (sqrt m)) (* (sqrt 1.0) (sqrt m)))))

series3.7s

Counts

4 → 12

Calls

4 calls:

76.0ms	(/ m (/ v (- 1.0 m)))
70.0ms	(* m (sqrt m))
36.0ms	(* (sqrt m) (sqrt m))
3.5s	(/ (* (* (- (/ m (/ v (- 1.0 m))) 1.0) (+ (sqrt 1.0) (sqrt m))) (- (* 1.0 (sqrt 1.0)) (* m (sqrt m)))) (+ (* (sqrt 1.0) (sqrt 1.0)) (+ (* (sqrt m) (sqrt m)) (* (sqrt 1.0) (sqrt m)))))

simplify4.8s

Counts

243 → 243

Iterations

Iter	Nodes
done	5002
1	1612
0	517

prune3.1s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes479.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify12.0ms

Iterations

Iter	Nodes
done	17
1	17
0	13

end0.0ms

sample1.7s

Algorithm

intervals

Results

741.0ms	13687×	body	80	valid
458.0ms	13687×	pre	80	true